This paper describes the synthesis and modification of MgB 2 bulk samples to produce better transport superconducting materials. The methodology uses a mixture of MgB 2 with another diboride, TaB 2 , which has the same C32 hexagonal structure as MgB 2 . The simultaneous addition of TaB 2 and SiC, which contributes carbon doping, is also investigated. As an important result, the critical current densities (J c ) were enhanced at low magnetic fields (0-2 T) when TaB 2 alone was added. In addition, J c was enhanced in the entire range of the measured applied magnetic fields when TaB 2 was simultaneously added with SiC. Some explanations for this J c enhancement are presented.